Finding the Third Proportional to 820.13 and 1,123.88

Step by Step Solution

1. Step 1: Write the proportion equation
   820.13 : 1,123.88 = 1,123.88 : x
2. Step 2: Convert to fraction form
   820.13/1,123.88 = 1,123.88/x
3. Step 3: Cross multiply
   820.13x = 1,123.88 × 1,123.88
4. Step 4: Simplify right side
   820.13x = 1,263,095.02
5. Step 5: Solve for x
   x = 1,263,095.02/820.13
6. Step 6: Final answer
   x = 1,540.13